Suppose that the demand function for a certain product is
q = 400 - 4p
(a) Enter the equation for revenue R as a function of price p
(b) What is the (instantaneous) rate of change of revenue with respect to price when the price is $ 14?
(c) At what price is the derivative of revenue with respect to price exactly zero?
The demand function is q = 400-4p.
Obtain the revenue function.
In general the revenue function is represented in the form of R = pq, where p is the price per item and q is the demand function.
Thus, the revenue function for the given demand function is R = p(400−4p).
Thus, the revenue function is R = 400p−4p2.
Calculate the rate of change of revenue with respect to the price when the price is $14.
Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*See Solution
Q: Use the graph of f` and f`` to find the critical points and inflection points of f, the intervals on...
A: The graph of f’ and f’’ is given,
Q: Find the area of the region that lies inside both curves. r = 9 + cos(θ), r = 9 − cos(θ)
A: To calculate the area of the given region (by integration) described by polar coordinates
Q: Suppose that the rate at which the concentration of a drug in the blood changes with respect to time...
A: Given:The rate of change of concentration of a drug in blood with respect to time t is
Q: Find the derivative of y with respect to x
A: we are given an inverse function
Q: FIND THE DERIVATIVE OF THE FUNCTIONy=0.6e to the fifth(x) degree
A: The given function "y" is shown on the white board. We need to find its derivative. Before we get in...
Q: I need help on how to contruct the definite integral needed to find the area of the geometric shape ...
A: Formula of area of triangle is = (1/2)*b*h, where b=base, h=height
Q: Please help me about this.
A: The radius of convergence is 4 which can be computed as follows.
Q: Given the marginal cost function C’(x) = 3x2 – 6x, find the cost to produce x items if the fixed cos...
A: We are given marginal cost
Q: This is #1
A: Part (a)Consider an object moving along a line with the velocity and initial position.